Question

When a number is added to n plus StartFraction 1 Over 5 EndFraction n equals 24. of itself, the result is 24. The equation that models this problem is n + n plus StartFraction 1 Over 5 EndFraction n equals 24.n = 24. What is the value n?

n = 18
n = 20
n = 21n equals 23 and StartFraction Over 5 EndFraction 5
n = 23n equals 23 and StartFraction Over 5 EndFraction 5

Answer 1

Let n + (1/5)n = 24. Combine terms: (6/5)n = 24.
Solve: n = 24 * (5/6) = 4 * 5 = 20.

Check: 20 + (1/5)·20 = 20 + 4 = 24.
So n = 20.